Momentum Problem -- Bullet fired into a block of wood

[Petext]

Homework Statement

A gun is fired vertically into a block of wood(unknown mass) at rest directly above it. If the bullet has a mass of 24.0g and a speed of 310 m/s, how high will the block rise into the air after the bullet becomes embedded in it?

Relevant Equations

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A gun is fired vertically into a block of wood(unknown mass) at rest directly above it. If the bullet has a mass of 24.0g and a speed of 310 m/s, how high will the block rise into the air after the bullet becomes embedded in it?

 

[PeroK]

You need to make an effort to solve this yourself.

 

[haruspex]

Break it into two stages, first the impact, then the subsequent rise of the block+bullet.
For "relevant equations ", what conservation laws might apply in each?